Q. 19 Color-blind men About 7% of men ... [FREE SOLUTION]

91影视

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 837 pages

ISBN: 9781319113339

Chapter 5: Q. 19 (page 311)

Color-blind men About $7 %$ of men in the United States have some form of red-green color blindness. Suppose we randomly select one U.S. adult male at a time until we find one who is red-green color-blind. Should we be surprised if it takes us $20$ or more men? Describe how you would carry out a simulation to estimate the probability that we would have to randomly select $20$ or more U.S. adult males to find one who is red-green color blind. Do not perform the simulation.

Short Answer

Expert verified

The person has red-green color blindness if the number is between $00$ and $06$ (inclusive); otherwise, the person does not have red-green color blindness.

Step by step solution

Given information

We need to find that who is red-green color blind.

Explanation

A person with red-green color blindness has a $7 %$ chance of being chosen, which amounts to around $7$ out of every $100$ persons.

$7 % = \frac{7}{100}$

Using slips of paper, a random digits table, or a random number generator, generate $2$ -digit numbers at random.
Choose the first of the two-digit numbers. The person has red-green color blindness if the number is between $00$ and $06$ (inclusive); otherwise, the person does not have red-green color blindness.
Repeat till we have an individual that is colorblind in both red and green.
We kept track of how many numbers were needed until we found a red-green colorblind person.

Repeat as many times as necessary, estimating the likelihood as the proportion of trials that required $20$ or more to achieve a red-green colorblind person.